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Finding the Third Proportional to 405,315 and 938,322

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Solution

The third proportional to 405,315 and 938,322 is: 2,172,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,315 : 938,322 = 938,322 : x
  2. Step 2: Convert to fraction form
    405,315/938,322 = 938,322/x
  3. Step 3: Cross multiply
    405,315x = 938,322 × 938,322
  4. Step 4: Simplify right side
    405,315x = 880,448,175,684
  5. Step 5: Solve for x
    x = 880,448,175,684/405,315
  6. Step 6: Final answer
    x = 2,172,256.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.